100410055144 has 128 divisors (see below), whose sum is σ = 233125724160. Its totient is φ = 39561919488.

The previous prime is 100410055121. The next prime is 100410055181. The reversal of 100410055144 is 441550014001.

It is a super-2 number, since 2×100410055144² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26262817 + ... + 26266639.

It is an arithmetic number, because the mean of its divisors is an integer number (1821294720).

Almost surely, 2^100410055144 is an apocalyptic number.

100410055144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100410055144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116562862080).

100410055144 is an abundant number, since it is smaller than the sum of its proper divisors (132715669016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100410055144 is a wasteful number, since it uses less digits than its factorization.

100410055144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 100410055144 its reverse (441550014001), we get a palindrome (541960069145).

The spelling of 100410055144 in words is "one hundred billion, four hundred ten million, fifty-five thousand, one hundred forty-four".